| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 462.a1 |
462c3 |
462.a |
462c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$1848$ |
$48$ |
$0$ |
$1.006808231$ |
$1$ |
|
$6$ |
$128$ |
$0.065661$ |
$1285429208617/614922$ |
$0.94933$ |
$4.54434$ |
$[1, 1, 0, -226, -1406]$ |
\(y^2+xy=x^3+x^2-226x-1406\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 88.24.0.?, $\ldots$ |
$[(-9, 5)]$ |
| 462.a2 |
462c4 |
462.a |
462c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3^{4} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$1848$ |
$48$ |
$0$ |
$0.251702057$ |
$1$ |
|
$8$ |
$128$ |
$0.065661$ |
$223980311017/4278582$ |
$0.93681$ |
$4.25956$ |
$[1, 1, 0, -126, 486]$ |
\(y^2+xy=x^3+x^2-126x+486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(5, 1)]$ |
| 462.a3 |
462c2 |
462.a |
462c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$0.503404115$ |
$1$ |
|
$14$ |
$64$ |
$-0.280913$ |
$498677257/213444$ |
$0.90408$ |
$3.26416$ |
$[1, 1, 0, -16, -20]$ |
\(y^2+xy=x^3+x^2-16x-20\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 84.12.0.?, 88.24.0.?, $\ldots$ |
$[(-3, 5)]$ |
| 462.a4 |
462c1 |
462.a |
462c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$1848$ |
$48$ |
$0$ |
$1.006808231$ |
$1$ |
|
$5$ |
$32$ |
$-0.627486$ |
$4657463/3696$ |
$0.84999$ |
$2.50246$ |
$[1, 1, 0, 4, 0]$ |
\(y^2+xy=x^3+x^2+4x\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[(1, 2)]$ |
| 462.b1 |
462a2 |
462.b |
462a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.860827034$ |
$1$ |
|
$6$ |
$128$ |
$0.070209$ |
$129938649625/7072758$ |
$0.93356$ |
$4.17082$ |
$[1, 1, 0, -105, -441]$ |
\(y^2+xy=x^3+x^2-105x-441\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(-7, 7)]$ |
| 462.b2 |
462a1 |
462.b |
462a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.430413517$ |
$1$ |
|
$11$ |
$64$ |
$-0.276365$ |
$9938375/274428$ |
$0.92985$ |
$3.25251$ |
$[1, 1, 0, 5, -23]$ |
\(y^2+xy=x^3+x^2+5x-23\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(4, 7)]$ |
| 462.c1 |
462b3 |
462.c |
462b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{5} \cdot 3^{12} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$1.339306$ |
$86129359107301290313/9166294368$ |
$1.03413$ |
$7.48136$ |
$[1, 1, 0, -92004, 10703088]$ |
\(y^2+xy=x^3+x^2-92004x+10703088\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 462.c2 |
462b2 |
462.c |
462b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$960$ |
$0.992731$ |
$21184262604460873/216872764416$ |
$1.00370$ |
$6.12691$ |
$[1, 1, 0, -5764, 164560]$ |
\(y^2+xy=x^3+x^2-5764x+164560\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 462.c3 |
462b4 |
462.c |
462b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$1.339306$ |
$-333345918055753/72923718045024$ |
$1.06509$ |
$6.41796$ |
$[1, 1, 0, -1444, 410800]$ |
\(y^2+xy=x^3+x^2-1444x+410800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 462.c4 |
462b1 |
462.c |
462b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{20} \cdot 3^{3} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$480$ |
$0.646158$ |
$29609739866953/15259926528$ |
$1.00455$ |
$5.05563$ |
$[1, 1, 0, -644, -2352]$ |
\(y^2+xy=x^3+x^2-644x-2352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
| 462.d1 |
462d2 |
462.d |
462d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{13} \cdot 3^{8} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8320$ |
$2.103943$ |
$10228636028672744397625/167006381634183168$ |
$1.04809$ |
$8.25995$ |
$[1, 0, 1, -452236, 115355594]$ |
\(y^2+xy+y=x^3-452236x+115355594\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 462.d2 |
462d1 |
462.d |
462d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{26} \cdot 3^{4} \cdot 7^{5} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4160$ |
$1.757368$ |
$-520203426765625/11054534935707648$ |
$1.16773$ |
$7.23590$ |
$[1, 0, 1, -1676, 5058506]$ |
\(y^2+xy+y=x^3-1676x+5058506\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 462.e1 |
462e2 |
462.e |
462e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.078822119$ |
$1$ |
|
$18$ |
$1344$ |
$0.922331$ |
$45637459887836881/13417633152$ |
$1.00677$ |
$6.25199$ |
$[1, 1, 1, -7445, 244091]$ |
\(y^2+xy+y=x^3+x^2-7445x+244091\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(47, 4)]$ |
| 462.e2 |
462e1 |
462.e |
462e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.039411059$ |
$1$ |
|
$27$ |
$672$ |
$0.575757$ |
$-7347774183121/6119866368$ |
$0.97595$ |
$4.97380$ |
$[1, 1, 1, -405, 4731]$ |
\(y^2+xy+y=x^3+x^2-405x+4731\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(-17, 92)]$ |
| 462.f1 |
462g4 |
462.f |
462g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$1.041557$ |
$312196988566716625/25367712678$ |
$1.01456$ |
$6.56540$ |
$[1, 0, 0, -14133, -647829]$ |
\(y^2+xy=x^3-14133x-647829\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 28.6.0.c.1, 84.48.0.?, $\ldots$ |
$[]$ |
| 462.f2 |
462g3 |
462.f |
462g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$0.694983$ |
$-61653281712625/21875235228$ |
$0.98159$ |
$5.25310$ |
$[1, 0, 0, -823, -11611]$ |
\(y^2+xy=x^3-823x-11611\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 14.6.0.b.1, 42.48.0-42.b.1.3, $\ldots$ |
$[]$ |
| 462.f3 |
462g2 |
462.f |
462g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$192$ |
$0.492250$ |
$5290763640625/2291573592$ |
$1.03705$ |
$4.77494$ |
$[1, 0, 0, -363, 1305]$ |
\(y^2+xy=x^3-363x+1305\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 28.6.0.c.1, 84.48.0.?, $\ldots$ |
$[]$ |
| 462.f4 |
462g1 |
462.f |
462g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$96$ |
$0.145677$ |
$50447927375/39517632$ |
$0.95390$ |
$4.01662$ |
$[1, 0, 0, 77, 161]$ |
\(y^2+xy=x^3+77x+161\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 14.6.0.b.1, 42.48.0-42.b.1.4, $\ldots$ |
$[]$ |
| 462.g1 |
462f4 |
462.g |
462f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$1.076231$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$7.07710$ |
$[1, 0, 0, -40247, 3104415]$ |
\(y^2+xy=x^3-40247x+3104415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[]$ |
| 462.g2 |
462f3 |
462.g |
462f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2 \cdot 3^{2} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$768$ |
$1.076231$ |
$4770223741048753/2740574865798$ |
$1.17170$ |
$5.88392$ |
$[1, 0, 0, -3507, 6507]$ |
\(y^2+xy=x^3-3507x+6507\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.? |
$[]$ |
| 462.g3 |
462f2 |
462.g |
462f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$384$ |
$0.729656$ |
$1763535241378513/4612311396$ |
$1.08205$ |
$5.72174$ |
$[1, 0, 0, -2517, 48285]$ |
\(y^2+xy=x^3-2517x+48285\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 88.24.0.?, 616.48.0.? |
$[]$ |
| 462.g4 |
462f1 |
462.g |
462f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$192$ |
$0.383083$ |
$-100999381393/723148272$ |
$0.97843$ |
$4.55240$ |
$[1, 0, 0, -97, 1337]$ |
\(y^2+xy=x^3-97x+1337\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 88.24.0.?, $\ldots$ |
$[]$ |
